Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Question
#15
![ne same velocity?
23 f
13. If a ball is thrown into the air with a velocity of 40 ft/s, its
height (in feet) after t seconds is given by y = 40t – 16ť².
tion).
th
||
a with
24. I
Find the velocity when t = 2.
natu-
4. If a rock is thrown upward on the planet Mars with a velocity
of 10 m/s, its height (in meters) after t seconds is given by
25.
given
– 1.86t².
H = 10t
(a) Find the velocity of the rock after one second.
(b) Find the velocity of the rock when t = a.
(c) When will the rock hit the surface?
(d) With what velocity will the rock hit the surface?
-
es of
%3D
ever
26.
me-
15. The displacement (in meters) of a particle moving in a straight
line is given by the equation of motion s = 1/t², where t is
measured in seconds. Find the velocity of the particle at times
e in
t = a, t = 1, t = 2, and t = 3.
27
16. The displacement (in meters) of a particle moving in a straight
line is given by s = t² – 8t + 18, where t is measured in
2.
secoris.
(a) Find the average velocity over each time interval:
(ii) [3.5, 4]
(i) [3, 4]
(iii) [4, 5]
gaol a
(iv) [4, 4.5]
RE](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F96529d31-1af4-4d90-b6c1-79b0ae971a1c%2F16c538b4-1951-4b63-8fa5-51f614a88cc6%2Fdjc0edk.jpeg&w=3840&q=75)
Transcribed Image Text:ne same velocity?
23 f
13. If a ball is thrown into the air with a velocity of 40 ft/s, its
height (in feet) after t seconds is given by y = 40t – 16ť².
tion).
th
||
a with
24. I
Find the velocity when t = 2.
natu-
4. If a rock is thrown upward on the planet Mars with a velocity
of 10 m/s, its height (in meters) after t seconds is given by
25.
given
– 1.86t².
H = 10t
(a) Find the velocity of the rock after one second.
(b) Find the velocity of the rock when t = a.
(c) When will the rock hit the surface?
(d) With what velocity will the rock hit the surface?
-
es of
%3D
ever
26.
me-
15. The displacement (in meters) of a particle moving in a straight
line is given by the equation of motion s = 1/t², where t is
measured in seconds. Find the velocity of the particle at times
e in
t = a, t = 1, t = 2, and t = 3.
27
16. The displacement (in meters) of a particle moving in a straight
line is given by s = t² – 8t + 18, where t is measured in
2.
secoris.
(a) Find the average velocity over each time interval:
(ii) [3.5, 4]
(i) [3, 4]
(iii) [4, 5]
gaol a
(iv) [4, 4.5]
RE
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